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In order to solve the problems of data sharing security and policy conflict in multicloud storage systems (MCSS), this work designs an attribute mapping mechanism that extends ciphertext policy attribute-based en-cryption (CP-ABE), and proposes a multi-au-thority CP-ABE access control model that satisfies the need for multicloud storage access control. The mapping mechanism mainly in-volves the tree structure of CP-ABE and pro-vides support for the types of attribute values. The framework and workflow of the model are described in detail. The effectiveness of the model is verified by building a simple prototype system, and the performance of the prototype system is analyzed. The results sug-gest that the proposed model is of theoretical and practical significance for access control research in MCSS. The CP-ABE has better performance in terms of computation time overhead than other models.